Abstract
The paper deals with shear stresses analysis of fully saturated Nevada sand layer by means of Wavelet Transform. The layer modelled as two-phase Biot’s porous medium, is subjected to the impulse wave. Results, obtained from program called Swandyne, were analyzed using MathCad. The Wavelet Transform was carried out to calculate proper frequency spectrum along with duration time of separate frequency. Tangential stresses were considered because of they importance in creating slip plane and liquefaction. In order to study the dynamic response of saturated soil layer as an initial-boundary problem, a FEM code was implemented. The tangential stress distribution in the layer for chosen time steps shows that the phenomena well known under static load takes place during dynamic excitation as well. The shear stresses in the reference point, are analysed using two methods, classical Fourier Transform and the modern Wavelet Analysis. Thanks to Wavelet Transform we can retrieve such important information as: the time when the dominant frequency is reached and which frequencies appears and/or disappears in time.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Biot, M.A.: Theory of propagation of elastic waves in a fluid – saturated porous solid. J. Acoust. Soc. Am. 28(2), 168–178 (1956)
Zienkiewicz, O.C., Chana, A.H.C., Pastor, M., Paul, M.: Static and dynamic behaviour of soils: a rational approach to quantitative solutions. I Fully saturated problems. Proc. R. Soc. Lond. A 429, 285–309 (1990)
Biot, M.A.: Theory of elasticity and consolidation for a porous anisotropic soil. J. Appl. Phys. 26, 182–185 (1955)
Zienkiewicz, O.C., Chana, A.H.C., Pastor, M., Schrefler, B.A., Shiomi, T.: Computational Geomechanics with Special Reference to Earthquake Engineering. Wiley, New York, NY (2000)
Arulmoli, K., et al.: VELACS Laboratory Testing Program Soil Data Report. National Science Foundation, Washington, DC (1993)
Daubechies, I.: Ten lectures on wavelets. CBMS – NSF Conference in Applied Mathematics, SIAM Ed, Philadelphia, PA (1992)
Białasiewicz, T.: Falki i aproksymacje. Wydawnictwo Naukowo. Techniczne, Warszawa (2000)
Acknowledgements
To professor A.H.C. Chan for sharing the SWANDYNE source code under the academic license.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Borowiec, A. (2011). Wavelet Analysis of the Shear Stress in Soil Layer Caused by Dynamic Excitation. In: Murín, J., Kompiš, V., Kutiš, V. (eds) Computational Modelling and Advanced Simulations. Computational Methods in Applied Sciences, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0317-9_9
Download citation
DOI: https://doi.org/10.1007/978-94-007-0317-9_9
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0316-2
Online ISBN: 978-94-007-0317-9
eBook Packages: EngineeringEngineering (R0)